Dynamical complexity and controlled operator K-theory / Erik Guentner, Rufus Willett & G. Yu

Von:

Guentner, Erik [VerfasserIn]

Mitwirkende(r):

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Astérisque ; 451 (2024)Verlag: Paris : Société Mathématique de France, [2024]Beschreibung: 89 SeitenISBN:

9782379052026

Weitere Titel:

Complexité dynamique et K-théorie contrôlée

Schlagwörter:

Andere physische Formen: Kein Titel | Erscheint auch als: Dynamical complexity and controlled operator K-Theory. Online-Ausgabe Paris : Société Mathématique de France, 2024MSC: MSC: 46L85 | 19K35 | 58B34 | 37B99 | 22A22RVK: RVK: SI 832LOC-Klassifikation:

QA612.33

Zusammenfassung: Publisher’s description: In this paper, we introduce a property of topological dynamical systems that we call finite dynamical complexity. For systems with this property, one can in principle compute the K-theory of the associated crossed product C∗-algebra by splitting it up into simpler pieces and using the methods of controlled K-theory. The main part of the paper illustrates this idea by giving a new proof of the Baum-Connes conjecture for actions with finite dynamical complexity. We have tried to keep the paper as self-contained as possible: we hope the main part will be accessible to someone with the equivalent of a first course in operator K-theory. In particular, we do not assume prior knowledge of controlled K-theory, and use a new and concrete model for the Baum-Connes conjecture with coefficients that requires no bivariant K-theory to set up.PPN: PPN: 1903095271

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Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Barcode
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Z 533-451.2024	Verfügbar	36549680090

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